Here’s the basic Tile format. Essentially a square piece that folds into a triangle, which creates the final triangular module that then tiles periodically.
Here is one option for arranging these modules.
Here is essentially the same assembly pattern with varying angles for the wing components. This is how I intend to introduce variation.
Another Arrangement Pattern, without the radial symmetry.
An arrangement of arrangements.
Same as above, but staggered.
Finally, another arrangement.